Before we can find the range, and interquartile range, let's review the definitions of these terms.
Range: the difference between the greatest and least values.
Interquartile Range: the difference between the first quartile and third quartile.
First, we will write the data in numerical order.
119,125,136,143,150,150
Range
The range is the difference between the greatest and least values.
119,125,136,143,150, 150
The difference between 150 and 119 is 31.
Interquartile Range
To find the interquartile range, we need to find the median of the lower half, the first quartile, and the median of the upper half, the third quartile.
Median_L Median_U
↓ ↓
119, 125, 136, 143, 150, 150
Lower Half Upper Half
The first quartile is 125 and the third quartile is 150. The difference between the two values is 150-125=25.
Therefore, the interquartile range is 25.
